If f ( x ) = { x α lo g x , 0 , x > 0 x = 0 and Rolle's theorem is applicable to f ( x ) for x ∈ [ 0 , 1 ] , then α is equal to

Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Rolle's-theroemMedium2 minQB

MathematicsMediumsingle choice

If $f (x) = {x^{α} lo g x, 0, x > 0 x = 0$ and Rolle's theorem is applicable to $f (x)$ for $x \in [0, 1]$ , then $α$ is equal to

Answer:

Solution:

for Rolle’s theorem in [a, b]

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Rolle's-theroem

⏱ 2mℹ️ Source: QB

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